Nonparametric Estimation of Density and Hazard Rate Functions when Samples are Censored.

Abstract

The purpose of this article is to present the different types of nonparametric density estimates that have been proposed for the situation that the sample data are censored or incomplete. This type of data arises in many life testing situations and is common in survival analysis problems. Many of the methods of nonparametric density and hazard rate estimation from right-censored observations are discussed. These include histogram and kernel-type procedures, likelihood methods, Fourier series methods, and Bayesian nonparametric approaches. Examples of kernel density estimates are given for mechanical switch life data where data-based choices of the bandwidth values are used. Originator-supplied keywords included: Nonparametric density estimation; Random censorship; Failure rate; Kernel density estimator; Likelihood methods.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 11, 1985
Accession Number
ADA150946

Entities

People

  • William J. Padgett

Organizations

  • University of South Carolina

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Data Science
  • Differential Equations
  • Distribution Functions
  • Equations
  • Estimators
  • Failure Mode And Effect Analysis
  • Fourier Series
  • Histograms
  • Information Science
  • Kernel Functions
  • Mathematics
  • Maximum Likelihood Estimation
  • Observation
  • Probability
  • Probability Density Functions
  • Random Variables
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Statistical inference.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference